Q. 17 In the given problem solve the t... [FREE SOLUTION]

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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 8: Q. 17 (page 527)

In the given problem solve the triangle using the law of sines :
$A = 40 掳, B = 20 掳, a = 2 .$

Short Answer

Expert verified

Required values of the triangle are $C = 120 掳, b = 1.1, c = 2.7$

Step by step solution

Step 1. Given information

For a triangle with sides a, b, c and opposite angles A, B, C, respectively, Law of sines is given as:

$\frac{\sin (A)}{a} = \frac{\sin (B)}{b} = \frac{\sin (C)}{c}$

Step 2. Calculation

Given,

$A = 40 掳, B = 20 掳, a = 2 A c c o r d i n g t o L a w o f S i n e s, F o r b, 鈬� \frac{\sin (A)}{a} = \frac{\sin (B)}{b} 鈬� b = \frac{\sin (B) 脳 a}{\sin (A)} = \frac{\sin (20 掳) 脳 2}{\sin (40 掳)} = \frac{0.342 脳 2}{0.6427} = \frac{0.684}{0.6427} = 1.064 鈮� 1.1 F o r C, C = 180 掳 - A - B = 180 掳 - 40 掳 - 20 掳 = 120 掳 F o r c, 鈬� \frac{\sin (A)}{a} = \frac{\sin (C)}{c} 鈬� c = \frac{\sin (C) 脳 a}{\sin (A)} = \frac{\sin (120 掳) 脳 2}{\sin (40 掳)} = \frac{0.866 脳 2}{0.6427} = \frac{1.732}{0.6427} = 2.694 鈮� 2.7$

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91影视

In the given problem solve the triangle using the law of sines :
$A = 40 掳, B = 20 掳, a = 2 .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

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91影视

In the given problem solve the triangle using the law of sines :A=40掳,B=20掳,a=2.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the given problem solve the triangle using the law of sines :
$A = 40 掳, B = 20 掳, a = 2 .$